>>847
∫(sin^3x)(cos^2x)dx = ∫(sin^2x)*{(sinx)(cos^2x)}dx
=(sin^2x)*(-1/3)(cos^3x) -∫2(sinx)(cosx)*(-1/3)(cos^3x)dx +C'
=(sin^2x)*(-1/3)(cos^3x) +(2/3)∫(sinx)*(cos^4x)dx +C'
=(sin^2x)*(-1/3)(cos^3x) +(2/3)*(-1/5)(cos^5x) +C